Calculate Takeoff Speed and Jump Length Increase for Long Jump

  • Thread starter txbigrich
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In summary, an athlete executing a long jump at a 32.7 degree angle traveled a distance of 7.71m. The takeoff speed in m/s can be calculated using the equations of motion, with the initial velocity (u) representing the unknown and the final velocity (v) being the constant horizontal speed. If the takeoff speed were increased by 4.0%, the jump would be longer, with the exact amount being determined by the vertical acceleration fixed by gravity. The key is to consider the horizontal and vertical components of the motion separately and how the speed changes in each direction. "U" stands for the initial velocity, while "v" represents the final velocity.
  • #1
txbigrich
3
0
Easy But Dont Get!

An athlete executing a long jump leaves the ground at a 32.7 angle and travels 7.71m .

A) What was the takeoff speed in m/s?

B) If this speed were increased by just 4.0%, how much longer would the jump be?

Can you answer this for me. And if you could add some on how you got it.

Thanks
 
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  • #2


txbigrich said:
Can you answer this for me.
No, it doesn't work like that

And if you could add some on how you got it.
The idea is that you attempt it and we tell you what you did wrong.
 
  • #3


I have no clue how too, that’s why I’m posting it and asking to show how it’s done. Come on, if your good at a subject like physics, then you should already know this, there genius.
 
  • #4


It's not a question of if I already know it - this is a homework forum, just telling you the answer is no more use than me saying that the answer sheets are in the top left drawer of the teacher's desk.

When you posted the question it displayed instructions to show what equations you know and your attempt at a solution

There are three equations of motion in your textbook for this kind of situation.
v = u + gt, v2 = u2 + 2gs and s = ut + 1/2 g t2 The actual letters might vary.

The trick is to consider the horizontal and vertical components of the motion separately and how the speed changes in each direction.
 
  • #5


What is the variable "U" stand for?
 
  • #6


U is the initial velocity, v is the final velocity.

Hint - there is no horizontal accelaration, if you ignore air resistance the horizontal speed is constant. Vertical accelearation is fixed by gravity.
 

1. How do you calculate the takeoff speed for a long jump?

The takeoff speed for a long jump can be calculated using the formula: Speed = Square root of (2 x Acceleration x Jump distance). Acceleration can be measured using a speed or velocity sensor, and jump distance can be measured using a tape measure.

2. What are the factors that affect the takeoff speed for a long jump?

The takeoff speed for a long jump is affected by several factors, including the athlete's strength and power, their technique and form, the runway surface, and the wind conditions. Other factors such as the athlete's age, weight, and gender may also play a role.

3. How can you increase your takeoff speed for a long jump?

To increase your takeoff speed for a long jump, you can work on improving your overall strength and power through weight training and plyometric exercises. You can also focus on perfecting your technique and form, and practicing on different runway surfaces to adapt to various conditions.

4. How do you calculate the jump length increase for a long jump?

The jump length increase for a long jump can be calculated using the formula: Jump length increase = (Takeoff speed increase)^2 / (2 x Acceleration). This formula takes into account the increase in takeoff speed and the effect of acceleration on the jump distance.

5. What are some tips for achieving a longer jump length in a long jump?

Some tips for achieving a longer jump length in a long jump include maintaining a proper and consistent running technique, focusing on a powerful takeoff, and maintaining a strong and efficient body position in the air. Additionally, practicing and perfecting these techniques, as well as working on overall speed, strength, and power, can help improve jump length in the long run.

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